Author:
Cavallo Alberto,Collari Carlo
Abstract
AbstractIn this paper we extend the definition of slice-torus invariant to links. We prove a few properties of the newly-defined slice-torus link invariants: the behaviour under crossing change, a slice genus bound, an obstruction to strong sliceness, and a combinatorial bound. Furthermore, we provide an application to the computation of the splitting number. Finally, we use the slice-torus link invariants and the Whitehead doubling to define new strong concordance invariants for links, which are proven to be independent of the corresponding slice-torus link invariant.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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1. Detecting Fibered Strongly Quasi-Positive Links;The Quarterly Journal of Mathematics;2021-12-15
2. Concordance Invariants and the Turaev Genus;International Mathematics Research Notices;2021-06-24
3. Slice‐torus link invariants, combinatorial invariants and positivity conditions;Bulletin of the London Mathematical Society;2021-03-16
4. A note on the weak splitting number;Proceedings of the American Mathematical Society;2021-01-21
5. Strongly quasipositive quasi-alternating links and Montesinos links;Periodica Mathematica Hungarica;2020-05-17